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How many solutions in integers are there to x1 + x2 + x3 + x4 + x5 + x6 + x7 = 54, where 3
How many solutions in integers are there to x1 + x2 + x3 + x4 + x5 + x6 + x7 = 54, where 3 x1, 4 x2, 5 x3, and 6 < x4, x5, x6, x7?
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